Lattices and quantales of ideals of semigroups and their preservation under Morita contexts

DOI10.1007/s00012-020-0650-0zbMath1477.20125OpenAlexW3016059144MaRDI QIDQ1987519

Valdis Laan, Ülo Reimaa, László Márki

Publication date: 15 April 2020

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-020-0650-0

zbMATH Keywords

semigroupidealquantaleMorita context

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (2)

Morita contexts and unitary ideals of rings ⋮ Morita equivalence of finite semigroups

Cites Work

• A note on Morita invariants of semigroups.
• Morita invariants for semigroups with local units.
• Acceptable Morita contexts for semigroups.
• Context equivalence of semigroups.
• Strong Morita equivalence of semigroups with local units.
• Morita equivalence based on contexts for various categories of modules over associative rings
• Strong Morita equivalence and a generalisation of the Rees theorem
• Enlargements and coverings by Rees matrix semigroups
• Morita equivalence of finite semigroups
• Morita equivalence of factorizable semigroups

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